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On Levy's theorem concerning positiveness of transition probabilities of Markov processes: the circuit processes case
Published online by Cambridge University Press: 14 July 2016
Abstract
We prove Lévy's theorem concerning positiveness of transition probabilities of Markov processes when the state space is countable and an invariant probability distribution exists. Our approach relies on the representation of transition probabilities in terms of the directed circuits that occur along the sample paths.
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- Copyright © Applied Probability Trust 1993
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